UEENEEG149A: Polyphase Supply System - Engineering Assignment Help

Assignment Task:

Task:

Topic 1: Polyphase supply system
Note: For three phase problems in this assignment, the supply voltage reference phasors are as follows.

1 [3] Identify three advantages of three phase systems compared to single phase systems.

2 [3] Using your knowledge of Kirchhoff’s laws and the Double Subscript Notation
method, determine the following voltages on Fig. 1:

 In your own words:
(a) Explain what is meant by ‘phase sequence’ of a poly-phase system.

(b) Describe one way of reversing the phase sequence to an installation.

(c) Identify one possible adverse consequence of an accidental reversal of phase sequence to an installation.

NOTE:
For question 4, the a operator rotates vector quantities through 120° in an anticlockwise direction and has a numerical value of:
866.05.011201120jej???????a
4 [4] Given phasor: ???40230A , determine:
(a) Aa

(b) Aa2

(c) AaA?

(d) Aa-A

5 [4] Fig. 2 shows the approximate equivalent circuit of one phase of a 3 phase 500kVA distribution transformer. If the primary current is measured to be A, determine:
(a) Supply voltage Ep
(b) Load voltage Vs

Hint: Reduce the equivalent circuit by referring to the primary.

6 [4] Fig. 3 shows the equivalent circuit of a ‘short’ (15km or less) transmission line.
Given that the current I is 41.66A with a phase angle of 36.87(lagging the load voltage VR, calculate the sending end voltage VS (magnitude and phase angle). Assume VR is the reference phasor.

7 [7] A series R-C circuit consists of a resistor with resistance R = 10? and a capacitor with Capacitive Reactance XC = 5?. The series combination is connected to a 230 supply (ES). Using the voltage divider rule determine the voltage drop across the resistance (VR) and capacitance (VC).

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